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Finding the Fourth Proportional to 21,764.38, 32,663.13 and 14,366.38

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Solution

The fourth proportional to 21,764.38, 32,663.13 and 14,366.38 is: 21,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764.38 : 32,663.13 = 14,366.38 : x
  2. Step 2: Convert to fraction form
    21,764.38/32,663.13 = 14,366.38/x
  3. Step 3: Cross multiply
    21,764.38x = 32,663.13 × 14,366.38
  4. Step 4: Simplify right side
    21,764.38x = 469,250,937.57
  5. Step 5: Solve for x
    x = 469,250,937.57/21,764.38
  6. Step 6: Final answer
    x = 21,560.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.